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- W4310880068 abstract "We study a special kind of singular vorticities in ideal 2D fluids that combine features of point vortices and vortex sheets, namely pointed vortex loops. We focus on the coadjoint orbits of the area-preserving diffeomorphism group of ${mathbb R}^2$ determined by them. We show that a polarization subgroup consists of diffeomorphisms that preserve the loop as a set, thus the configuration space is the space of loops that enclose a fixed area, without information on vorticity distribution and attached points." @default.
- W4310880068 created "2022-12-20" @default.
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- W4310880068 date "2022-12-05" @default.
- W4310880068 modified "2023-09-26" @default.
- W4310880068 title "Pointed vortex loops in ideal 2D fluids" @default.
- W4310880068 doi "https://doi.org/10.48550/arxiv.2212.02612" @default.
- W4310880068 hasPublicationYear "2022" @default.
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